Functors and Categories of Banach Spaces
Author: P.W. Michor
Publisher: Springer
Published: 2006-11-15
Total Pages: 104
ISBN-13: 3540358471
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Author: P.W. Michor
Publisher: Springer
Published: 2006-11-15
Total Pages: 104
ISBN-13: 3540358471
DOWNLOAD EBOOKAuthor: Johann Cigler
Publisher:
Published: 1979
Total Pages: 316
ISBN-13:
DOWNLOAD EBOOKAuthor: P W Michor
Publisher: Springer
Published: 2014-01-15
Total Pages: 112
ISBN-13: 9783662183472
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1964
Total Pages: 99
ISBN-13: 9780387087641
DOWNLOAD EBOOKAuthor: Noel Dee Evans
Publisher:
Published: 1968
Total Pages: 126
ISBN-13:
DOWNLOAD EBOOKAuthor: Pothoven K.
Publisher:
Published: 1969
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher: Elsevier
Published: 1991-03-18
Total Pages: 735
ISBN-13: 0080887104
DOWNLOAD EBOOKThe theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces, nonlinear functional analysis, etc. Besides this the theory has a considerable internal beauty and must by now be regarded as an independent branch of analysis, with its own problems and methods. Further development in the 1970s and 1980s included the solution by the authors of this book of one of the outstanding questions in the theory of the real method, the K-divisibility problem. In a way, this book harvests the results of that solution, as well as drawing heavily on a classic paper by Aronszajn and Gagliardo, which appeared in 1965 but whose real importance was not realized until a decade later. This includes a systematic use of the language, if not the theory, of categories. In this way the book also opens up many new vistas which still have to be explored. This volume is the first of three planned books. Volume II will deal with the complex method, while Volume III will deal with applications.
Author: Jochen Wengenroth
Publisher: Springer Science & Business Media
Published: 2003-04-10
Total Pages: 74
ISBN-13: 9783540002369
DOWNLOAD EBOOKThe text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Fréchet and more general spaces. The researcher in real and complex analysis finds powerful tools to solve surjectivity problems e.g. on spaces of distributions or to characterize the existence of solution operators. The requirements from homological algebra are minimized: all one needs is summarized on a few pages. The answers to several questions of V.P. Palamodov who invented homological methods in analysis also show the limits of the program.
Author: Jan Epema
Publisher:
Published: 1973
Total Pages: 132
ISBN-13:
DOWNLOAD EBOOKAuthor: Kenneth Hoffman
Publisher: Courier Corporation
Published: 2014-06-10
Total Pages: 227
ISBN-13: 048614996X
DOWNLOAD EBOOKA classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc. The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations to Dirichlet algebras. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the factorization, and a brief description of the classical approach to the theorems of the first five chapters. The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc. Enhanced with 100 challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level treatment of this topic.